131413 has 2 divisors, whose sum is σ = 131414. Its totient is φ = 131412.

The previous prime is 131381. The next prime is 131431. The reversal of 131413 is 314131.

Together with next prime (131431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128164 + 3249 = 358^2 + 57^2 .

It is a cyclic number.

It is not a de Polignac number, because 131413 - 2⁵ = 131381 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131393 and 131402.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131113) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65706 + 65707.

It is an arithmetic number, because the mean of its divisors is an integer number (65707).

2¹³¹⁴¹³ is an apocalyptic number.

It is an amenable number.

131413 is a deficient number, since it is larger than the sum of its proper divisors (1).

131413 is an equidigital number, since it uses as much as digits as its factorization.

131413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36, while the sum is 13.

The square root of 131413 is about 362.5093102253. The cubic root of 131413 is about 50.8408469290.

Adding to 131413 its reverse (314131), we get a palindrome (445544).

The spelling of 131413 in words is "one hundred thirty-one thousand, four hundred thirteen".